Nonlinear dispersion equations: smooth deformations, compactons, and extensions to higher orders
Analysis of PDEs
2009-02-03 v1
Abstract
Third-order nonlinear dispersion equations (NDEs) are shown to admit both shock and rarefaction waves (as weak solutions), which are distinguished by a smooth deformation approach. Compacton-type travelling wave solutions are proved to be both delta-entropy and G-admissible (in the sense of I.M. Gel'fand, 1963). Extensions to some higher-order NDEs are performed.
Cite
@article{arxiv.0902.0275,
title = {Nonlinear dispersion equations: smooth deformations, compactons, and extensions to higher orders},
author = {V. A. Galaktionov},
journal= {arXiv preprint arXiv:0902.0275},
year = {2009}
}
Comments
39 pages, 17 figures